Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 4.5 ( t − 2010 ) 2 − 15 ( t − 2010 ) + 180 thousand dollars ( 2010 ≤ t ≤ 2015 ) , where t is the year. Find P ' ( t ) and P ' ( 2011 ) . What does the second answer tell you about home prices?
Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 4.5 ( t − 2010 ) 2 − 15 ( t − 2010 ) + 180 thousand dollars ( 2010 ≤ t ≤ 2015 ) , where t is the year. Find P ' ( t ) and P ' ( 2011 ) . What does the second answer tell you about home prices?
Solution Summary: The author calculates the median home price in the United States over the time of January2010-
Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by
P
(
t
)
=
4.5
(
t
−
2010
)
2
−
15
(
t
−
2010
)
+
180
thousand dollars
(
2010
≤
t
≤
2015
)
,
where t is the year. Find
P
'
(
t
)
and
P
'
(
2011
)
. What does the second answer tell you about home prices?
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Chapter 4 Solutions
Student Solutions Manual for Waner/Costenoble's Applied Calculus, 7th
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